We've been developing intuitive high-quality statistical software at an affordable price, backed up by fast friendly customer service for over 25 years...
support@analyse-it.com Phone: +44-(0)113-247-3875
Office hours: 9am-5pm GMT Mon-Fri It's Tuesday 5:02 PM and the office is closed - e-mail us and we'll get back to you as soon as possible.
Estimators for the difference in means/medians of related samples and their properties and assumptions.
Cohen's d is the most popular estimator using the difference between the means divided by the pooled sample standard deviation. Cohen's d is a biased estimator of the population standardized mean difference (although the bias is very small and disappears for moderate to large samples) whereas Hedge's g applies an unbiasing constant to correct for the bias.
A shift in location is equivalent to a difference between means/medians when the distribution of the differences is symmetric. Symmetry is quite often inherently satisfied for paired data.